Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 350: 36

Answer

Because it is a parallelogram, we know that we can add triangle VRW to the other side of the parallelogram, creating a square of length RS. Since the area of this figure has not changed, we know that it has the same area as the original figure. Thus, we use the formula for the area of a square to obtain: $A = s^2 = RS^2$
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